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Finding the Fourth Proportional to 23,029.92, 34,529.76 and 8,231.22

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Solution

The fourth proportional to 23,029.92, 34,529.76 and 8,231.22 is: 12,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029.92 : 34,529.76 = 8,231.22 : x
  2. Step 2: Convert to fraction form
    23,029.92/34,529.76 = 8,231.22/x
  3. Step 3: Cross multiply
    23,029.92x = 34,529.76 × 8,231.22
  4. Step 4: Simplify right side
    23,029.92x = 284,222,051.11
  5. Step 5: Solve for x
    x = 284,222,051.11/23,029.92
  6. Step 6: Final answer
    x = 12,341.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.